Arithmetic Flashcards
What is the product of two positive integers?
A positive integer
What is the product of two negative integers?
A positive integer
What is the product of a positive and a negative integer?
A negative integer
What is the sum of two even integers?
An even integer
What is the sum of two odd integers?
An even integer
What is the sum of an even integer and an odd integer?
An odd integer
What is the product of two even integers?
An even integer
What is the product of two odd integers?
An odd integer
What is the product of an even integer and an odd integer?
An even integer
What is an even integer that is neither positive nor negative?
Zero
What is the only prime number that is even?
Two
What is a prime number?
An integer greater than 1 that only has two positive divisors: 1 and itself
r + s =
s + r
(r + s) + t =
r + (s + t)
r ( st ) =
rs ( t )
r ( s + t ) =
rs + rt
Percent change =
( Difference / Original ) x 100
ca + cb =
c(a + b)
ca - cb =
c(a - b)
(a + b)^2
a^2 + 2ab + b^2
(a - b)^2
a^ - 2ab + b^2
a^2 - b^2
(a+b)(a-b)
(a+b)^3
a^3+3a^2b+3ab^2+b^3
(a-b)^3
a^3-3a^2b-3ab^2-b^3
a^-1
1/a
(x^a)(x^b)
x^a+b
(x^a)/(x^b)
x^a-b
x^0
1
0^0
Undefined
(x^a)(y^a)
(xy)^a
(x/y)^a
(x^a)/(y^a)
(x^a)^b
x^ab
Quadratic Formula
x = (-b +/- (b^2 - 4ac)^1/2)/2a
Slope form
y = mx+b
Distance formula
((x-x)^2 + (y-y)^2))^1/2
Circle formula
(x-a)^2 + (y-b)^2 = r^2
Center of circle
(a, b)
of triangles in a polygon
n-2
Sum of interior angles
(n-2)(180)
45-45-90 special right triangle
x, x, x(2)^1/2
30-60-90 special right triangle
x, x(3)^1/2, 2x
Triangle congruence
Side-side-side
Side-angle-side
Angle-side-angle
Area of paralellogram
A = bh
Area of trapezoid
1/2 (b + b) h
If the diameter of a circle is one side of a triangle circumscribed within the circle, then
The angle opposite the diameter side is 90 degrees right angle
Volume of cube
Lwh
Surface area of cube
2(lw + lh + wh)
Volume of cylinder
Pie (r^2) h
Surface area of cyclinder
2(Pie(r^2)) + 2(Pie(r)h)